Given:
3n + 5
n = 1 ; 3(1) + 5 = 3 + 5 = 8
n = 2 ; 3(2) + 5 = 6 + 5 = 11
n = 3 ; 3(3) + 5 = 9 + 5 = 14
n = 4 ; 3(4) + 5 = 12 + 5 = 17
The first four terms of the sequence are: 8, 11, 14, 17. Second option.
It is c because if you divide it it equals to .75
9514 1404 393
Answer:
a. A
b. B
c. D
d. E
e. C
Step-by-step explanation:
Linear pairs are supplementary, so ...
∠2 = 180° -∠1 = 180° -130° = 50° . . . (a)
∠6 = 180° -∠7 = 180° -70° = 110° . . . (d)
Vertical angles are congruent, so ...
∠5 = ∠7 = 70° . . . (c)
Exterior angles are equal to the sum of the opposite interior angles, so ...
∠4 = ∠2 +∠5 = 50° +70° = 120° . . . (e)
__
∠1 = ∠3 +∠5
130° = ∠3 +70°
∠3 = 130° -70° = 60° . . . (b)
Answer:
y=3
Step-by-step explanation:
Answer:
x= 2
z = 106
Step-by-step explanation:
By the definition of vertically opposite angles,
(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]
10x = 74 - 54
10x = 20
x = 2
z° + 74° = 180° [Pair of supplementary angles]
z = 180 - 74
z = 106